## If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change?

Question

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## Answers ( )

Answer:the answers the correct one is a 4

Explanation:The centripetal acceleration is by

a = v² / R

angular and linear velocities are related

v = w R

let’s substitute

a = w² R

for initial condition

a₀ = w₀² R

suppose the initial angular velocity is wo, suppose the angular velocity doubles

a = (2w₀)² R

a = 4 (w₀² R)

a = 4 a₀

when reviewing the answers the correct one is a